Answer: y= 1/3x + 41
Answer:
[tex]_{\text{point-slope form}}[/tex]
[tex]\huge\boxed{y-5=\dfrac{1}{3}(x+12)}[/tex]
[tex]_{\text{slope-intercept form}}[/tex]
[tex]\huge\boxed{y=\dfrac{1}{3}x+9}[/tex]
[tex]_{\text{standard form}}[/tex]
[tex]\huge\boxed{x-3y=-27}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
where
[tex]m[/tex] - slope
[tex](x_1;\ y_1)[/tex] - a point on a line
We have
[tex]m=\dfrac{1}{3};\ (-12;\ 5)\to x_1=-12;\ y_1=5[/tex]
Substitute:
[tex]y-5=\dfrac{1}{3}(x-(-12))\\\\y-5=\dfrac{1}{3}(x+12)\\==================[/tex]
[tex]y-5=\dfrac{1}{3}(x+12)\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\\\\y-5=\dfrac{1}{3}x+4\qquad|\text{add 5 to both sides}\\\\y=\dfrac{1}{3}x+9\\=======================[/tex]
[tex]y=\dfrac{1}{3}x+9\qquad|\text{multiply both sides by 3}\\\\3y=x+27\qquad|\text{subtract}\ x\ \text{from both sides}\\\\-x+3y=27\qquad|\text{change the signs}\\\\x-3y=-27[/tex]
Help pls I have no chance of getting this right
GIVING 50 POINTS 42 + 49 - 9023 + 34830 =
What is 42 + 49 - 9023 + 34830?
Answer: 25898
Explanation:
1. 42 + 49 = 91
2. 91 + -9023 = -8932
3. -8932 + 34830 = 25898
3. The radius of a circle is 7cm. Find the circumference of the circle. Use 22 for pi. . .
Answer:
44cm
Step-by-step explanation:
The formula to find the circumference of a circle is :
C = 2 π rHere,
r ⇒ radius ⇒ 7cm
π ⇒ 22/7
Let us find now.
C = 2 π r
= 2 × [tex]\frac{22}{7}[/tex] × 7
= 14 × [tex]\frac{22}{7}[/tex]
= [tex]\frac{308}{7}[/tex]
= 44 cm
The longer side of a rectangle has a length of 10. the rectangle is rotated around line k at this side. rectangle abcd has a perimeter of 32 units and will be rotated about line k. what is the three-dimensional solid created? what is the radius of a base?
The radius of the base after rotating the rectangle will be 5
What is the radius of the base?Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created is a cylinder.
Let's calculate its radius from the perimeter;
[tex]2p=32[/tex]
[tex]2(b+h)=32[/tex]
[tex]b+h=16[/tex]
[tex]b=16-h[/tex]
Also, [tex]bh=60[/tex]
Thus;
[tex]h(16-h)=60[/tex]
[tex]h^2-16h+60=0[/tex]
Using the online quadratic formula, we have h = 6
Thus; b = 16 - 6 = 10
Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 10/2 = 5.
Thus the radius of the base after rotating the rectangle will be 5
To know more about rectangles follow
https://brainly.com/question/25292087
Answer:
cylinder and 6 units
Step-by-step explanation:
on e2020
Please help!!!
Question 1: What is the measure of ZD?
A: 107
B: 37
C: 64
D: 73
Question 2
What is the measure of ZE?
A: 43
B: 73
C: 116
D: 64
What is the measure of ZG?
A: 43
B: 73
C: 137
D: 116
Answer:
C, A, C
Step-by-step explanation:
1) Angle D corresponds to angle A, so since corresponding angles of similar triangles are congruent, it measures 64 degrees.
2) Angle E corresponds to angle B. To find the measure of angle B, we can start by using the fact that angles F and C correspond. This means that in triangle ABC, we have angles with measures of 64 degrees, 73 degrees, and angle B. It follows that angle B, and thus angle E, measures 43 degrees.
3) By the exterior angle theorem, the measure of angle G is equal to the measure of angles D and F combined. The measure of angle D is 64 degrees, and the measure of angle F is 73 degrees, so angle G measures 137 degrees.
what is the domain? What is the range
Answer:
domain: -∞ < x < ∞range: -∞ < y ≤ 4Step-by-step explanation:
The domain is the horizontal extent of the function graph. The range is its vertical extent. The arrows on the ends of the lines indicate they extend to negative infinity in the vertical direction, and to ± infinity in the horizontal direction. The maximum value of the function is y=4.
The domain of the function is -∞ < x < ∞.
The range of the function is -∞ < y ≤ 4.
8.
Use the graph to
write an equation of the line
and interpret the slope.
helppppppppp meeeeeeeeee
Answer:
R'(-15, 1.5)
S'(-6, 3)
T'(-6, -4.5)
U'(-15, -4.5)
Step-by-step explanation:
Multiply every coordinate by the scale factor k = 3/2 which also 1.5.
R(-10, 1) ---> R'(-15, 1.5)
S(-4, 2) ---> S'(-6, 3)
T(-4, -3) ---> T'(-6, -4.5)
U(-10, -3) ---> U'(-15, -4.5)
6. (01.03 LC)
An item originally priced for $51.99 is on sale for 15% off. What is the discounted price of the item? (4 points)
$7.80
O $44.19
$45.21
d
$61.16
Answer:
$44.19 it is correct answer
which of the following choices is the area of triangle ABC rounded to the nearest square mile?
Answer:
390 square miles I think
A quantity with an initial value of 8600 grows exponentially at a rate of 20% every 2 minutes. What is the value of the quantity after 67 minutes, to the nearest hundredth?
Answer:
23400 x 8/100 = 1872 = the loss
1872 : 12 = 156= the loss each month
156/1872*100% = 8.33 % then round it
Answer:
The answer is 3864294.3
Step-by-step explanation:
Answer the following questions.
1) Match the descriptions with the properties.
If you multiply or divide both sides of an inequality by a negative number, you must change the direction of the inequality symbol.
If you divide the terms of one side of an inequality by a positive number, you must divide the terms of the other side of the inequality by the same number for the inequality to remain true.
If you add a value to one side of an inequality, you must add the same value to the other side of the inequality for the inequality to remain true.
Addition Property of Inequality
Division Property of Inequality
Inequality Property of Multiplication or Division by a Negative Number
Multiplication Property of Inequality
Subtraction Property of Inequality
Answer:
B. If both sides of an inequality are multiplied or divided by a negative number, the direction of the inequality symbol must be reversed.
Step-by-step explanation:
Use the figure below to match the type of angles with the correct type of angles.
Answer choices:
Vertical Angles
Complementary
Corresponding Angles
Same-Side Interior Angles
Alternate Interior Angles
Alternate Exterior Angles
Same-Side Exterior Angles
Supplementary
Step-by-step explanation:
Hope this image helps you!!
Integers are a subset of irrational numbers.
Answer:
yeah
Step-by-step explanation:
The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another. It is a non-repeating, non-terminating decimal.
Answer:
No irrationals are integers. Irrational numbers are by definition *not rational*, and all integers can represented as the rational
Given m|n, find the value of x.
Answer:
x=113 degrees
Step-by-step explanation:
Last Question...Please help if you can...(25 points if you answer this)
In one day, Annie traveled 5 times the sum of the number of hours Brian traveled and 2. Together they traveled 20 hours. Find the number of hours each person traveled.
Answer:
Annie- 17 hours, Brian- 3 hoursStep-by-step explanation:
Let the number of hours Annie travelled be a, and same of Brian be b
Then we have
a + b = 20a = 5b + 2Substituting a in the first equation
5b + 2 + b = 206b = 20 - 26b = 18b = 3Then finding a
a = 20 - 3 = 17So the answer is:
Annie- 17 hours, Brian- 3 hoursSolution set for -8y<72
Answer:
y < -9
Step-by-step explanation:
-8y < 72
~Divide -8 to both sides
y < -9
Best of Luck!
Solve the equation for y.
(15y+24)/a =f PLEASE DO NOT HELP ME IF YOU DO NOT KNOW WHAT YOU ARE DOING!! Everyone on this app who has helped me have been getting me wrong on all my work.
Answer:
y = [tex]\frac{fa - 24}{15}[/tex]
Step-by-step explanation:
[tex]\frac{15y + 24}{a}[/tex] = f
multiply both sides by a
(15y + 24) = fa
the parenthesis can be removed
15y + 24 = fa
subtract 24 from both sides
15y = fa - 24
divide both sides by 15
y = [tex]\frac{fa - 24}{15}[/tex]
pls help, i don’t understand this at alll !!!!!
Answer:
A. 720
B. 120
Step-by-step explanation:
To do this you need to do permutation with your calculator
A.
KINDLY has 6 letters
an easy way to do this is by
6 x 5 x 4 x 3 x 2 x 1 = 720
or 6! = 720
B.
6 nPr 3 = 120
or
n! 6! 6 x 5 x 4 x 3 x 2 x 1 720
P(n, r) = -------- = ---------- = ------------------------------- = ----------- = 120
(n - r)! (6 - 3)! 3 x 2 x 1 6
I hope this helps!
A rectangular room measures 12 feet by 7 feet. Find the cost of installing a strip of wallpaper around the room if the wallpaper costs $ 0.97 foot.
Total costs= $ _____
Find the perimeter of the room, which is the sum of all four sides:
12 + 12 + 7 + 7 = 38 feet.
The cost would be 38 ft x 0.97 per foot = $36.86
Evaluate the following function when x = 2: f(x) =x^2-x+2
Answer: 4
Step-by-step explanation:
First you do the exponent because of "order of operation", which in this case is 2 to the 2nd power or 2 squared. Then you substract the answer you got by doing 2 squared, which is supposed to give you an answer of 4 which then gets substracted by 2, which leads to the answer being 2 and then you add 2 + 2 and the final answer is 4
Please help me solve this.
Answer:
Step-by-step explanation:
The slopes of parallel lines are equivalent, so you are correct.
help me pls pls pls
nonsense=report
nice answer=brainles
pls dont waste my points
-20:2+(15)=
Simplify
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Simplify the expression by removing symbols of grouping and combining like terms.
4t[5 − (t − 4)] + t(t + 3)
Answer: -3t^2 + 39t
Step-by-step explanation:
What is the common difference in this sequence?
{48, 32, 16, 0, ... }
Answer:
The common difference in this sequence is 16
Step-by-step explanation:
8. Which is the better buy: 200 g of coffee beans at $3.85 or 1 pound at $960?
How do I solve it
Answer:
200g of coffee beans
Step-by-step explanation: 453.592g = 1 pound going by 200 per $3.85 that would be way better than $960
Answer:
200 grams
Step-by-step explanation:
1 pound is 453.592 grams and 200 grams is 0.440925 of a pound. If you paid $3.85 for 200 grams you'd pay a little over $7.70 to get a pound. But if you paid $960 for a pound you'd have to pay a lot more money. So 200 grams of coffee beans is the better buy.
what is 16% of 8.2 kg
Answer:
1.312 I think
Step-by-step explanation:
answer: 1.312
explanation: 8.2×0.16= 1.312
Please can you help me with this perpendicular line question?
Please don't answer if you don't have one, else I will report you.
Thanks,
Answer: y=-x+4
Step-by-step explanation:
The area of a triangle is 1482. Two of the side lengths are 93 and 59 and the include angle is acute. Find the measure of the included angle, to the nearest tenth of a degree
Answer: 32.7
Step-by-step explanation: